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A Topological Characterization of Gleason Parts of Real Function Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
It is well-known that a topological space is a Gleason part of some complex function algebra if and only if it is completely regular and σ-compact. In the present paper, a Gleason part of a real function algebra is characterized as a completely regular σ-compact topological space which admits an involutoric homeomorphism.
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- Copyright © Canadian Mathematical Society 1983